Mini-Golf Windmill: Find Minimum Linear Speed

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Homework Help Overview

The problem involves a golf ball navigating through a rotating windmill at a miniature golf course. The windmill has 6 blades rotating at an angular speed of 1.65 rad/s, and the task is to determine the minimum linear speed of the ball to avoid being struck by the next blade.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin solving the problem and mentions having drawn a picture without finding clarity. Participants question what the ball must do to avoid being hit and specify that it must pass through the hole without being struck by the blades.

Discussion Status

The discussion is ongoing, with participants exploring the conditions the ball must meet to avoid being hit. There is a focus on clarifying the requirements of the problem rather than progressing towards a solution.

Contextual Notes

The original poster has not provided additional information or constraints, and there is an emphasis on understanding the relationship between the ball's speed and the windmill's rotation.

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Homework Statement


A golf ball passing through a windmill at a miniature golf course. The windmill has 6 blades and rotates at an angular speed of 1.65 rad/s. The opening between successive blades is equal to the width of a blade. A golf ball (diameter 4.50x10-2 m) has just reached the edge of one of the rotating blades (see the drawing). Ignoring the thickness of the blades, find the minimum linear speed with which the ball moves along the ground, such that the ball will not be hit by the next blade.


Homework Equations


ω=θ/t
v=m/s


The Attempt at a Solution


I don't know how to start this. I drew out a picture and I still can't see how I can relate the equations.
 
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What must the ball do in the problem in order to satisfy the condition specified?
 
Go through the hole.
 
Bit more specific.
 
Go through the hole without getting hit by the windmill?
 
Oh, pfft. The golf ball has to go through the hole without getting hit by the windmill with it's slowest possible velocity.
 

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